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# Solutions for Chapter 12.6: Cylinders and Quadric Surfaces

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 12.6: Cylinders and Quadric Surfaces

Solutions for Chapter 12.6
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. Since 49 problems in chapter 12.6: Cylinders and Quadric Surfaces have been answered, more than 43541 students have viewed full step-by-step solutions from this chapter. Chapter 12.6: Cylinders and Quadric Surfaces includes 49 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Coordinate plane

See Cartesian coordinate system.

• Direct variation

See Power function.

• Factored form

The left side of u(v + w) = uv + uw.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Interquartile range

The difference between the third quartile and the first quartile.

See Polynomial function in x.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

A procedure for fitting a quadratic function to a set of data.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Sum of an infinite series

See Convergence of a series

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